On massive higher spins in d = 3

Khabarov, M. V.; Zinoviev, Yu. M.

doi:10.1007/jhep04(2022)055

Cited by 6 publications

(4 citation statements)

References 18 publications

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“…So one faces the situations when some zero-form must transform into one-form. In all such situations we switch to the metric-like multispinor formalism (see below) similar to the one used in [19,[21][22][23]. Let us stress that all cubic vertices constructed in our work are written in the pure frame-like formalism, while the metric-like one is used only to write the hypertransformations for the zero-forms as well as at some intermediate steps of calculations.…”

Section: Jhep10(2023)162mentioning

confidence: 99%

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On hypersymmetry in three dimensions

Zinoviev

2023

J. High Energ. Phys.

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In this work we presented a number of explicit examples for the cubic vertices describing an interaction of massless spin-$$ \frac{5}{2} $$ 5 2 field with massive boson and fermion including all hypertransformations necessary for the vertices to be gauge invariant. Here we restrict ourselves with the massive bosons with spins s = 2, 1, 0 and massive fermions with spins s = $$ \frac{3}{3} $$ 3 3 , $$ \frac{1}{2} $$ 1 2 . Our general analysis predicted that the vertex must exist for any boson and fermion with the spin difference $$ \frac{3}{2} $$ 3 2 or $$ \frac{1}{2} $$ 1 2 . And indeed it appeared that the vertex exists for all six possible pairs (2, 1, 0) ⊗ ($$ \frac{3}{2} $$ 3 2 , $$ \frac{1}{2} $$ 1 2 ). As in the case of massive supermultiplets, our construction is based on the gauge invariant description for the massive fields with spins s ≥ 1. Moreover, we have explicitly checked that all the vertices are invariant also under the gauge symmetries of these massive fields.

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Section: Jhep10(2023)162mentioning

confidence: 99%

“…As it was already mentioned, each time as it is convenient we switch to the metric-like multispinor formalism using the fact that any one-form can be transformed into a set of zero-forms (see [23] for details), for example…”

Section: Notation and Conventionsmentioning

confidence: 99%

On hypersymmetry in three dimensions

Zinoviev

2023

J. High Energ. Phys.

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“…Another interesting model can be obtained by making a specific kind of dimensional reduction to a three dimensional D = 3 flat space [20,21]. As it is common for three dimensional systems with higher spin fields (see for example [22][23][24][25][26][27][28] and references therein), the model consists of massive higher spin fields, with an extra requirement that the masses belong to a particular lattice. The latter condition, along with the "coupling constant conspiracy", ensures that the three dimensional action stays cubic, as it was in D = 4.…”

Section: Jhep12(2022)002mentioning

confidence: 99%

Supersymmetric quantum chiral higher spin gravity

Tsulaia

Weissman

2022

J. High Energ. Phys.

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We study quantum properties of supersymmetric $$ \mathcal{N} $$ N = 1 and $$ \mathcal{N} $$ N = 4 extensions of the four dimensional bosonic Chiral Higher Spin Gravities (HiSGRAs). We discuss the spectra, the classical actions and define the Feynman rules in $$ \mathcal{N} $$ N = 1 and $$ \mathcal{N} $$ N = 4 superspaces in the light-front gauge. Using these Feynman rules, we compute tree and one-loop amplitudes for these systems. A dimensional reduction to a system with $$ \mathcal{N} $$ N = 2 supersymmetry and with massive higher spin fields is performed and quantum properties of this system are discussed.

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“…Another interesting model can be obtained by making a specific kind of dimensional reduction to a three dimensional D = 3 flat space [18]- [19]. As it is common for three dimensional systems with higher spin fields (see for example [20][21][22][23][24][25][26] and references therein), the model consists of massive higher spin fields, with an extra requirement that the masses belong to 3 Further connections between Chiral HiSGRA and self-dual theories were studied in [5] a particular lattice. The later condition, along with the "coupling constant conspiracy", ensures that the three dimensional action stays cubic, as it was in D = 4.…”

Section: Introductionmentioning

confidence: 99%

Supersymmetric Quantum Chiral Higher Spin Gravity

Tsulaia¹,

Weissman²

2022

Preprint

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We study quantum properties of supersymmetric N = 1 and N = 4 extensions of the four dimensional bosonic Chiral Higher Spin Gravities (HiSGRAs)We discuss the spectra, the classical actions and define the Feynman rules in N = 1 and N = 4 superspaces in the light-front gauge. Using these Feynman rules, we compute tree and one-loop amplitudes for these systems. A dimensional reduction to a system with N = 2 supersymmetry and with massive higher spin fields is performed and quantum properties of this system are discussed.

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On massive higher spins in d = 3

Cited by 6 publications

References 18 publications

On hypersymmetry in three dimensions

On hypersymmetry in three dimensions

Supersymmetric quantum chiral higher spin gravity

Supersymmetric Quantum Chiral Higher Spin Gravity

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